Robust synchronization of unified chaotic systems via sliding mode control

Yan, Jing; Yang, Yuxin; Chiang, Tsung-Ying; Chen, Ching-Yuan

doi:10.1016/j.chaos.2006.04.003

Cited by 98 publications

(52 citation statements)

References 14 publications

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“…This is a discrete technique that considers small perturbations applied in one system parameter when the trajectory approaches the vicinity of the desired orbit when crossing a specific surface. Since then, numerous control techniques have been proposed for controlling chaos in different chaotic systems such as backstepping [2][3][4], adaptive control algorithms [5][6][7] and sliding-mode control [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Discrete-time Fuzzy Sliding Mode Control For a Class of Chaotic Systems

Medhaffar¹,

Feki²,

Derbel³

2017

Adv. sci. technol. eng. syst. j.

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In this paper, we propose an adaptive discrete-time fuzzy sliding mode control for a class of chaotic systems. For this aim, a discrete sliding mode controller and a fuzzy system are combined to achieve an adequate control. The Laypunov stability theorem is used to testify the asymptotic stability of the whole system and the consequence parameters of the adaptive fuzzy system are tuned on-line by adaptive laws. The simulation example of the 3D Henon chaotic model is giving to confirm the effectiveness and the robustness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Adaptive Discrete-time Fuzzy Sliding Mode Control For a Class of Chaotic Systems

Medhaffar¹,

Feki²,

Derbel³

2017

Adv. sci. technol. eng. syst. j.

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“…Robust control is a common approach to analyze and synthesize such systems. A robust control method that have been used for uncertain chaotic systems is sliding mode control which is preferred because of its inherent advantages such as easy realization, fast response, good transient response, and insensitivity to variations in system parameters [9][10][11]. Moreover, to reduce the effect of external disturbances on the available output to within a prescribed level, the H ∞ concept was proposed [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Synchronization of unified chaotic system by sliding mode/mixed H 2/H ∞ control

2011

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This paper deals with the synchronization of uncertain unified chaotic system in the presence of two kinds of disturbances, white noise and bounded power signal. A sliding mode controller (SMC) is established to guarantee the sliding motion. Moreover, a proportional-integral (PI) switching surface is used to determine the performance of the system in the sliding motion. Also, by using a mixed H 2 /H ∞ approach, the effect of external disturbances on the sliding motion is reduced. The necessary parameters of constructing controller and switching surface are found via semidefinite programming (SDP) which can be solved effectively by a standard software. Finally, a numerical simulation is presented to show the effectiveness of the proposed method.

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“…Due to its potential applications in various areas such as secure communication [2][3][4][5][6], neural networks [7], biology [8], and mechanics [9], a large number of researchers have been devoted to this area during the past two decades [10,11]. Additionally, different sorts of chaos synchronization schemes such as backstepping control [12,13], variable structure control [14][15][16], adaptive control [17][18][19], the LMI approach [20,21], finite time control [22], and adaptive robust control with matched uncertainties [23] have been developed.…”

Section: Introductionmentioning

confidence: 99%

Robust synchronization of Rossler systems with mismatched time-varying parameters

Arefi

Jahed‐Motlagh

2011

Nonlinear Dyn

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This paper presents robust synchronization algorithms for the Rossler systems in the presence of unknown time-varying parameters. First, an adaptive synchronization algorithm based on the Lyapunov theory is introduced for identical Rossler systems with mismatched uncertainties. This method does not require a priori information regarding the bound of uncertainties. In addition, this technique is such that the states of the synchronization error system are uniformly ultimately bounded. Since in practice the parameters of the drive and response systems are not necessarily the same, two synchronization approaches are used for the drive and response systems with different parameters. In the first approach, a simple controller is designed for the nominal error system, as if there is no uncertainty in the system. The stability analysis is then investigated as the uncertainties are reintroduced, and it is shown that the size of the uncertainties directly affects the synchronization performance. To deal with this problem, an H ∞ controller is designed in which the effects of unknown bounded uncertainties can be attenuated at an appropriate level. It is shown that, using these two approaches, the Rossler systems M.M. Arefi · M.R. Jahed-Motlagh ( ) can be synchronized effectively and the synchronization error is uniformly ultimately bounded. Numerical simulations confirm the effectiveness of the proposed methods.

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Robust synchronization of unified chaotic systems via sliding mode control

Cited by 98 publications

References 14 publications

Adaptive Discrete-time Fuzzy Sliding Mode Control For a Class of Chaotic Systems

Adaptive Discrete-time Fuzzy Sliding Mode Control For a Class of Chaotic Systems

Synchronization of unified chaotic system by sliding mode/mixed H 2/H ∞ control

Robust synchronization of Rossler systems with mismatched time-varying parameters

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